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Finding the Fourth Proportional to 205,415.70, 308,123.55 and 57,671.70

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Solution

The fourth proportional to 205,415.70, 308,123.55 and 57,671.70 is: 86,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.70 : 308,123.55 = 57,671.70 : x
  2. Step 2: Convert to fraction form
    205,415.70/308,123.55 = 57,671.70/x
  3. Step 3: Cross multiply
    205,415.70x = 308,123.55 × 57,671.70
  4. Step 4: Simplify right side
    205,415.70x = 17,770,008,938.54
  5. Step 5: Solve for x
    x = 17,770,008,938.54/205,415.70
  6. Step 6: Final answer
    x = 86,507.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.